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Finding the Fourth Proportional to 24,475.96, 36,684.78 and 12,782.80

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Solution

The fourth proportional to 24,475.96, 36,684.78 and 12,782.80 is: 19,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475.96 : 36,684.78 = 12,782.80 : x
  2. Step 2: Convert to fraction form
    24,475.96/36,684.78 = 12,782.80/x
  3. Step 3: Cross multiply
    24,475.96x = 36,684.78 × 12,782.80
  4. Step 4: Simplify right side
    24,475.96x = 468,934,205.78
  5. Step 5: Solve for x
    x = 468,934,205.78/24,475.96
  6. Step 6: Final answer
    x = 19,158.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.